12769280 has 96 divisors (see below), whose sum is σ = 32432400. Its totient is φ = 4816896.

The previous prime is 12769277. The next prime is 12769291. The reversal of 12769280 is 8296721.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 12769280.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 296939 + ... + 296981.

Almost surely, 2^12769280 is an apocalyptic number.

12769280 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12769280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16216200).

12769280 is an abundant number, since it is smaller than the sum of its proper divisors (19663120).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12769280 is an equidigital number, since it uses as much as digits as its factorization.

12769280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 35.

The square root of 12769280 is about 3573.4129344368. The cubic root of 12769280 is about 233.7341320121.

The spelling of 12769280 in words is "twelve million, seven hundred sixty-nine thousand, two hundred eighty".